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Question about the COMMOT paper #21

Closed LixinyuLiu closed 1 year ago

LixinyuLiu commented 1 year ago

Hi,

WechatIMG2518

I am reading the COMMOT paper and I came across a a few questions about the Methods: spatial signalling direction.

1) what is the xi and xj representing? Are they the coordinates for spot i and j? 2) What does N function indicates? 3) V belongs to Rns x d, what is the d here?

Thank you in advance for you time and patience. I am looking forward to your reply.

Best regards, Ema

zcang commented 1 year ago

Hello,

$x_i$ and $x_j$ are the spatial coordinates of spots i and j. The function $N(x)$ is supposed to be simply normalizing the vector, i.e. $x/|x|$. (I don't know why it got displayed like that in the final version.) d is the dimension of the ST data which is often 2.

Best, Zixuan